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Finding the Third Proportional to 202,424.63 and 432,874.13

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Solution

The third proportional to 202,424.63 and 432,874.13 is: 925,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,424.63 : 432,874.13 = 432,874.13 : x
  2. Step 2: Convert to fraction form
    202,424.63/432,874.13 = 432,874.13/x
  3. Step 3: Cross multiply
    202,424.63x = 432,874.13 × 432,874.13
  4. Step 4: Simplify right side
    202,424.63x = 187,380,008,094.52
  5. Step 5: Solve for x
    x = 187,380,008,094.52/202,424.63
  6. Step 6: Final answer
    x = 925,677.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.